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Finding the Fourth Proportional to 4,640.30, 6,959.74 and 1,520.63

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Solution

The fourth proportional to 4,640.30, 6,959.74 and 1,520.63 is: 2,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.30 : 6,959.74 = 1,520.63 : x
  2. Step 2: Convert to fraction form
    4,640.30/6,959.74 = 1,520.63/x
  3. Step 3: Cross multiply
    4,640.30x = 6,959.74 × 1,520.63
  4. Step 4: Simplify right side
    4,640.30x = 10,583,147.03
  5. Step 5: Solve for x
    x = 10,583,147.03/4,640.30
  6. Step 6: Final answer
    x = 2,280.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.